Emergent Rhombus Tilings from Molecular Interactions with M -fold Rotational Symmetry

Whitelam, Stephen; Tamblyn, Isaac; Garrahan, Juan P.; Beton, Peter H.

doi:10.1103/PhysRevLett.114.115702

Title: Emergent Rhombus Tilings from Molecular Interactions with $M$ -fold Rotational Symmetry

Journal Article · Fri Mar 20 00:00:00 EDT 2015 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.114.115702· OSTI ID:1364202

Whitelam, Stephen; Tamblyn, Isaac; Garrahan, Juan P.; Beton, Peter H.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02–05CH11231

OSTI ID:: 1364202

Alternate ID(s):: OSTI ID: 1180155

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 114 Journal Issue: 11; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 17 works

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References (36)

Atomistic Simulations of 2D Bicomponent Self-Assembly: From Molecular Recognition to Self-Healing Palma, Carlos-Andres; Samorì, Paolo; Cecchini, Marco Journal of the American Chemical Society, Vol. 132, Issue 50 https://doi.org/10.1021/ja107882e	journal	December 2010
Self-Assembly of Patchy Particles Zhang, Zhenli; Glotzer, Sharon C. Nano Letters, Vol. 4, Issue 8, p. 1407-1413 https://doi.org/10.1021/nl0493500	journal	July 2004
Five-vertex Archimedean surface tessellation by lanthanide-directed molecular self-assembly Ecija, D.; Urgel, J. I.; Papageorgiou, A. C. Proceedings of the National Academy of Sciences, Vol. 110, Issue 17 https://doi.org/10.1073/pnas.1222713110	journal	April 2013
Modeling capsid self-assembly: design and analysis Rapaport, D. C. Physical Biology, Vol. 7, Issue 4 https://doi.org/10.1088/1478-3975/7/4/045001	journal	December 2010
Dimer Statistics and Phase Transitions Kasteleyn, P. W. Journal of Mathematical Physics, Vol. 4, Issue 2 https://doi.org/10.1063/1.1703953	journal	February 1963
On the stability of Archimedean tilings formed by patchy particles Antlanger, Moritz; Doppelbauer, Günther; Kahl, Gerhard Journal of Physics: Condensed Matter, Vol. 23, Issue 40 https://doi.org/10.1088/0953-8984/23/40/404206	journal	September 2011
Fluid–fluid coexistence in colloidal systems with short-ranged strongly directional attraction Kern, Norbert; Frenkel, Daan The Journal of Chemical Physics, Vol. 118, Issue 21 https://doi.org/10.1063/1.1569473	journal	June 2003
Self-Assembly of Hexagonal DNA Two-Dimensional (2D) Arrays He, Yu; Chen, Yi; Liu, Haipeng Journal of the American Chemical Society, Vol. 127, Issue 35 https://doi.org/10.1021/ja0541938	journal	September 2005
Random Tiling and Topological Defects in a Two-Dimensional Molecular Network Blunt, M. O.; Russell, J. C.; Gimenez-Lopez, M. d. C. Science, Vol. 322, Issue 5904 https://doi.org/10.1126/science.1163338	journal	November 2008
Porous graphenes: two-dimensional polymer synthesis with atomic precision Bieri, Marco; Treier, Matthias; Cai, Jinming Chemical Communications, Issue 45 https://doi.org/10.1039/b915190g	journal	January 2009
Controlling crystallization and its absence: proteins, colloids and patchy models Doye, Jonathan P. K.; Louis, Ard A.; Lin, I-Chun Physical Chemistry Chemical Physics, Vol. 9, Issue 18 https://doi.org/10.1039/b614955c	journal	January 2007
Optimized Interactions for Targeted Self-Assembly: Application to a Honeycomb Lattice Rechtsman, Mikael C.; Stillinger, Frank H.; Torquato, Salvatore Physical Review Letters, Vol. 95, Issue 22 https://doi.org/10.1103/PhysRevLett.95.228301	journal	November 2005
Computing Phase Diagrams for a Quasicrystal-Forming Patchy-Particle System Reinhardt, Aleks; Romano, Flavio; Doye, Jonathan P. K. Physical Review Letters, Vol. 110, Issue 25 https://doi.org/10.1103/PhysRevLett.110.255503	journal	June 2013
Directing two-dimensional molecular crystallization using guest templates Blunt, Matthew; Lin, Xiang; Gimenez-Lopez, Maria del Carmen Chemical Communications, Issue 20 https://doi.org/10.1039/b801267a	journal	January 2008
Crystalline-Vitreous Interface in Two Dimensional Silica Lichtenstein, Leonid; Heyde, Markus; Freund, Hans-Joachim Physical Review Letters, Vol. 109, Issue 10 https://doi.org/10.1103/PhysRevLett.109.106101	journal	September 2012
Common Physical Framework Explains Phase Behavior and Dynamics of Atomic, Molecular, and Polymeric Network Formers Whitelam, Stephen; Tamblyn, Isaac; Haxton, Thomas K. Physical Review X, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevX.4.011044	journal	March 2014
Competition of shape and interaction patchiness for self-assembling nanoplates Ye, Xingchen; Chen, Jun; Engel, Michael Nature Chemistry, Vol. 5, Issue 6 https://doi.org/10.1038/nchem.1651	journal	May 2013
Tailoring molecular layers at metal surfaces Bartels, Ludwig Nature Chemistry, Vol. 2, Issue 2 https://doi.org/10.1038/nchem.517	journal	January 2010
Reversible self-assembly of patchy particles into monodisperse icosahedral clusters Wilber, Alex W.; Doye, Jonathan P. K.; Louis, Ard A. The Journal of Chemical Physics, Vol. 127, Issue 8 https://doi.org/10.1063/1.2759922	journal	August 2007
Designed interaction potentials via inverse methods for self-assembly Rechtsman, Mikael; Stillinger, Frank; Torquato, Salvatore Physical Review E, Vol. 73, Issue 1 https://doi.org/10.1103/PhysRevE.73.011406	journal	January 2006
Self-assembly scenarios of patchy colloidal particles in two dimensions Doppelbauer, Günther; Bianchi, Emanuela; Kahl, Gerhard Journal of Physics: Condensed Matter, Vol. 22, Issue 10 https://doi.org/10.1088/0953-8984/22/10/104105	journal	February 2010
Self-Assembly of Archimedean Tilings with Enthalpically and Entropically Patchy Polygons Millan, Jaime A.; Ortiz, Daniel; van Anders, Greg ACS Nano, Vol. 8, Issue 3 https://doi.org/10.1021/nn500147u	journal	February 2014
Control of Pathways and Yields of Protein Crystallization through the Interplay of Nonspecific and Specific Attractions Whitelam, Stephen Physical Review Letters, Vol. 105, Issue 8 https://doi.org/10.1103/PhysRevLett.105.088102	journal	August 2010
Understanding tetrahedral liquids through patchy colloids Saika-Voivod, Ivan; Smallenburg, Frank; Sciortino, Francesco The Journal of Chemical Physics, Vol. 139, Issue 23 https://doi.org/10.1063/1.4840695	journal	December 2013
Self-Assembly in Natural and Unnatural Systems Philp, Douglas; Stoddart, J. Fraser Angewandte Chemie International Edition in English, Vol. 35, Issue 11 https://doi.org/10.1002/anie.199611541	journal	June 1996
Formation of dodecagonal quasicrystals in two-dimensional systems of patchy particles van der Linden, Marjolein N.; Doye, Jonathan P. K.; Louis, Ard A. The Journal of Chemical Physics, Vol. 136, Issue 5 https://doi.org/10.1063/1.3679653	journal	February 2012
Statistical Mechanics of Dimers on a Plane Lattice Fisher, Michael E. Physical Review, Vol. 124, Issue 6 https://doi.org/10.1103/PhysRev.124.1664	journal	December 1961
Molecular and Supramolecular Networks on Surfaces: From Two-Dimensional Crystal Engineering to Reactivity Elemans, Johannes A. A. W.; Lei, Shengbin; De Feyter, Steven Angewandte Chemie International Edition, Vol. 48, Issue 40 https://doi.org/10.1002/anie.200806339	journal	September 2009
Roughening transitions and the zero-temperature triangular Ising antiferromagnet Blote, H. W. J.; Hilborst, H. J. Journal of Physics A: Mathematical and General, Vol. 15, Issue 11 https://doi.org/10.1088/0305-4470/15/11/011	journal	November 1982
The rise of graphene Geim, A. K.; Novoselov, K. S. Nature Materials, Vol. 6, Issue 3, p. 183-191 https://doi.org/10.1038/nmat1849	journal	March 2007
Self-Assembly at All Scales Whitesides, George M.; Grzybowski, Bartosz Science, Vol. 295, Issue 5564, p. 2418-2421 https://doi.org/10.1126/science.1070821	journal	March 2002
Dynamic Pathways for Viral Capsid Assembly Hagan, Michael F.; Chandler, David Biophysical Journal, Vol. 91, Issue 1 https://doi.org/10.1529/biophysj.105.076851	journal	July 2006
Improving the Efficiency of the Aggregation−Volume−Bias Monte Carlo Algorithm Chen, Bin; Siepmann, J. Ilja The Journal of Physical Chemistry B, Vol. 105, Issue 45 https://doi.org/10.1021/jp012209k	journal	November 2001
Entropy favours open colloidal lattices Mao, Xiaoming; Chen, Qian; Granick, Steve Nature Materials, Vol. 12, Issue 3 https://doi.org/10.1038/nmat3496	journal	January 2013
Classical dimers with aligning interactions on the square lattice Alet, Fabien; Ikhlef, Yacine; Jacobsen, Jesper Lykke Physical Review E, Vol. 74, Issue 4 https://doi.org/10.1103/PhysRevE.74.041124	journal	October 2006
The role of collective motion in examples of coarsening and self-assembly Whitelam, Stephen; Feng, Edward H.; Hagan, Michael F. Soft Matter, Vol. 5, Issue 6 https://doi.org/10.1039/B810031D	journal	January 2009